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Finding the Fourth Proportional to 200,625, 276,862.98 and 111,201

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Solution

The fourth proportional to 200,625, 276,862.98 and 111,201 is: 153,457.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,625 : 276,862.98 = 111,201 : x
  2. Step 2: Convert to fraction form
    200,625/276,862.98 = 111,201/x
  3. Step 3: Cross multiply
    200,625x = 276,862.98 × 111,201
  4. Step 4: Simplify right side
    200,625x = 30,787,440,238.98
  5. Step 5: Solve for x
    x = 30,787,440,238.98/200,625
  6. Step 6: Final answer
    x = 153,457.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.